Whole Numbers Class 6 Maths Worksheet

Whole Numbers

The numbers 1, 2, 3, …., are called natural numbers or counting numbers. Let us add one more number, i.e., zero (0), to the collection of natural numbers. Now the numbers are 0, 1, 2, 3,….. These numbers are called whole numbers.

Properties of Whole Numbers

Properties of whole numbers are important mathematical rules and characteristics that apply to all whole numbers. Here are some key properties of whole numbers for Class 6:

1. Closure property: When you add or multiply two whole numbers, the result is always another whole number. For example, if you add 5 and 3 (5 + 3), the sum is 8, which is also a whole number.
2. Commutative property: The order of addition and multiplication does not affect the result. For example, for any two whole numbers a and b, a + b = b + a and a × b = b × a.
3. Associative property: The grouping of numbers does not affect the result of addition and multiplication. For example, for any three whole numbers a, b, and c, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).
4. Identity element: The whole number 0 serves as the identity element for addition. Adding 0 to any whole number leaves the number unchanged. For example, a + 0 = a for any whole number a.
5. Multiplicative identity: The whole number 1 serves as the multiplicative identity. Multiplying any whole number by 1 leaves the number unchanged. For example, a × 1 = a for any whole number a.
6. Distributive property: The distributive property relates addition and multiplication. For any three whole numbers a, b, and c, a × (b + c) = a × b + a × c.
7. Comparing whole numbers: Whole numbers can be compared using the symbols < (less than), > (greater than), and = (equal to). For example, 5 < 7, 10 > 6, and 4 = 4.
8. Whole numbers on a number line: Whole numbers can be represented on a number line, with smaller numbers to the left and larger numbers to the right. The distance between consecutive whole numbers is the same.
9. Whole number patterns: Whole numbers follow various patterns. For example, even numbers are divisible by 2 (2, 4, 6, 8, etc.), and odd numbers are not (1, 3, 5, 7, etc.).
10. Prime numbers: Some whole numbers have only two factors, 1 and themselves, and are called prime numbers. For example, 2, 3, 5, 7, 11, etc.

Whole Numbers Class 6 Worksheet

Here we are providing worksheets for Whole Numbers Class 6. Students are suggested to go through each and every question for better understanding.

Fill in The Blanks

Q.1 Smallest whole number is
Q.2 Division by _______ is not defined

Q.3 _________ is a whole number which is not a natural number.
Q.4 _________is the multiplicative identity in whole numbers
Q.5 If any two whole numbers are added, we always get a _________number.
Q.6 7 × (32 × 56) = (7 × 32) × __________

TRUE / FALSE

Q.1 Commutativity and associativity are properties of addition of whole numbers
Q.2 On a number line, every whole number represents exactly one point and every point is represented by
exactly one whole number.
Q.3 Every whole number is the successor of another whole number.
Q.4 The largest 4-digit number formed by the digits 6, 7, 0, 9 using each digit only once is 9706.
Q.5 The sum of two whole number is always greater than or equal to their difference.

SUBJECTIVE QUESTIONS

Q.1 In each of the following fill in the blanks, so that the statement is true:
(a) (500 + 7) × (300 – 1) = 299 × —— (b) 888 + 777 + 555 = 111 × ——
(c) 75 × 425 = (70 + 5) × (25 + ——) (d) 89 × (100 – 2) = 98 × (100 – ——)
(e) 9 × (10000 + ——) = 98766]

Q.2 Ali cycle for 16 days, riding 20 km each day. Sam cycles 20 days, riding 16 km each day. Who cycles a further distance?

Q.3 Show that 7 × (12 × 15) = (7 × 12) × 15

Q.4 The digits 6 and 9 of the number 36490 are interchanged. Find the difference between the original
number and the new number.

Q.5 Find each of the following products by using properties of multiplication:
(i) 972 x 8 + 972 x 2
(ii) 46 x 982 + 27 x 982 – 58 x 982 – 15 x 982
(iii) 957 x 10 x 583 – 483 x 9570

Q.6 Solve using distributive property
(i) 12 × 197 (ii) 37 × 102

Q.7 Sheela brought a Hindi novel from the library which had 378 pages. She read 152 pages on the first two days. If she read 79 pages on the third day, how many pages remain uread ?

Q.8 Ashok buys 20 notebook and 20 pens. The cost of each notebook is Rs. 45 and that of each pen is
Rs. 13. Find the amount of money he spent ?

Q.9 There are 222 red balls in a basket. A boy takes out 6 red ball from it and replaces them by 12 white balls. He continues to do so till all red balls are replaced by white balls. Determine the number of white balls put in the basket.

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Importance of Whole Numbers Worksheet for Class 6

A whole numbers worksheet for Class 6 serves as a valuable educational tool to reinforce students’ understanding of the fundamental concept of whole numbers and their properties. These worksheets typically include a series of exercises and problems that require students to perform various operations, such as addition, subtraction, multiplication, and division, using whole numbers. By engaging in these activities, students develop their computational skills and gain confidence in handling whole numbers in different contexts.

The worksheet may include exercises involving real-life scenarios, enabling students to apply their knowledge practically. For example, they might solve word problems related to counting objects, calculating distances, or dividing items among a group of people. This application of whole numbers in real-world situations encourages students to see the relevance of mathematics in their everyday lives.

Additionally, whole numbers worksheets often introduce students to concepts like place value and number patterns. Understanding place value is essential for reading and writing large whole numbers accurately. Exploring number patterns can enhance students’ ability to identify relationships between numbers and predict future values in a sequence.

Furthermore, these worksheets can be designed to foster critical thinking and problem-solving skills. Students may be challenged with puzzles, logical reasoning tasks, and number-based riddles, stimulating their minds and making the learning process enjoyable.

Teachers can use the results from these worksheets to assess students’ progress and identify areas that may need additional attention. Based on the outcomes, educators can tailor their teaching strategies to cater to individual learning needs, ensuring a well-rounded understanding of whole numbers among all students.